Lectures related to Noether's theorem

Covers the concept of holography in classical gravity and its relation to string theory.

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Covers the Maxwell field, symmetries, and making shifts in local and covariant derivatives.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.

Explores Noether's currents, symmetry transformations, mass terms, angular momentum, and Lorentz invariance in Dirac theory.

Explores complex scalar fields under SU(2) symmetry and Noether's current computation.

Explores symmetries, conservation laws, and their role in physics.

Covers exercises on ladder operators, Lorentz invariance, Noether charges, and custodial symmetry in quantum field theory.

Explores Ward identities in Quantum Field Theory, emphasizing classical and quantum cases, symmetry generators, and perturbation theory.

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.

Covers the electromagnetic (EM) field in Quantum Field Theory II, discussing gauge transformations, symmetry principles, and field quantization.

Covers the local inversion theorem and uniqueness of solutions in a ball around a point.

Explores electric fields, energy storage, charge displacement, DC currents, and historical aspects of electricity.

Explores deriving conserved currents in classical and quantum field theory, emphasizing symmetries and equations of motion.

Explores symmetry in Lagrangian mechanics and its impact on physical systems.